| 1 | C2×C52×C17×ΓL(1,𝔽8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C17×C5⋊(C5⋊AGL(1,𝔽7)) | C2 | 1 | 2 | yes | maximal, direct product factor |
| 3 | C2×C17×C5⋊D35 | C3 | 1 | 1 | yes | maximal, characteristic, complemented, Hall |
| 4 | C52×C17×ΓL(1,𝔽8) | C22 | 1 | 1 | yes | characteristic, complemented, Hall |
| 5 | C2×C17×C5⋊AGL(1,𝔽7) | — | 5 | 6 | no | maximal |
| 6 | C17×C5⋊D35 | C2×C3 | 1 | 2 | yes | complemented |
| 7 | C2×C52×C7×C17 | C2×C3 | 1 | 1 | yes | characteristic, complemented |
| 8 | C2×C3×C17×C5⋊D5 | — | 7 | 1 | no | maximal, Hall |
| 9 | C17×C5⋊AGL(1,𝔽7) | — | 5 | 12 | no | — |
| 10 | C2×C5×C17×ΓL(1,𝔽8) | D5 | 1 | 6 | yes | complemented |
| 11 | C52×C7×C17 | C22×C3 | 1 | 1 | yes | characteristic, complemented, Hall |
| 12 | C3×C17×C5⋊D5 | — | 7 | 2 | no | — |
| 13 | C2×C3×C52×C17 | — | 7 | 1 | no | — |
| 14 | C2×C17×D35 | — | 5 | 6 | no | — |
| 15 | C2×C5⋊(C5⋊AGL(1,𝔽7)) | C17 | 1 | 1 | yes | maximal, characteristic, direct product factor, Hall |
| 16 | C5×C17×ΓL(1,𝔽8) | C2×D5 | 1 | 6 | yes | complemented |
| 17 | C2×C17×C5⋊D5 | — | 7 | 1 | no | Hall |
| 18 | C2×C17×AGL(1,𝔽7) | — | 25 | 1 | no | Hall |
| 19 | C3×C52×C17 | — | 7 | 1 | no | Hall |
| 20 | C2×C5×C7×C17 | C3×D5 | 1 | 6 | yes | complemented |
| 21 | C17×D35 | — | 5 | 12 | no | — |
| 22 | C2×C52×ΓL(1,𝔽8) | C2×C17 | 1 | 1 | yes | characteristic, complemented |
| 23 | C5⋊(C5⋊AGL(1,𝔽7)) | C2×C17 | 1 | 2 | yes | direct product factor |
| 24 | C2×C3×D5×C17 | — | 35 | 6 | no | — |
| 25 | C2×C52×C17 | AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 26 | C17×C5⋊D5 | — | 7 | 2 | no | — |
| 27 | C2×C17×ΓL(1,𝔽8) | C5⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 28 | C17×AGL(1,𝔽7) | — | 25 | 2 | no | — |
| 29 | C2×C5⋊D35 | C3×C17 | 1 | 1 | yes | characteristic, complemented, Hall |
| 30 | C5×C7×C17 | C2×C3×D5 | 1 | 6 | yes | complemented |
| 31 | C52×ΓL(1,𝔽8) | C22×C17 | 1 | 1 | yes | characteristic, complemented, Hall |
| 32 | C2×C3×C5×C17 | — | 7 | 6 | no | — |
| 33 | C3×D5×C17 | — | 35 | 12 | no | — |
| 34 | C2×D7×C17 | — | 25 | 1 | no | Hall |
| 35 | C52×C17 | C2×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented, Hall |
| 36 | C2×C5⋊AGL(1,𝔽7) | — | 5 | 6 | no | — |
| 37 | C17×ΓL(1,𝔽8) | C2×C5⋊D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 38 | C2×C52×C7 | C2×C3×C17 | 1 | 1 | yes | characteristic, complemented |
| 39 | C5⋊D35 | C2×C3×C17 | 1 | 2 | yes | complemented |
| 40 | C2×D5×C17 | — | 35 | 6 | no | — |
| 41 | C2×C3×C5⋊D5 | — | 7 | 1 | no | Hall |
| 42 | C3×C5×C17 | — | 7 | 6 | no | — |
| 43 | C2×C7×C17 | C3×C5⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 44 | D7×C17 | — | 25 | 2 | no | — |
| 45 | C2×C5×ΓL(1,𝔽8) | D5×C17 | 1 | 6 | yes | complemented |
| 46 | C5⋊AGL(1,𝔽7) | — | 5 | 12 | no | — |
| 47 | C22×C3×C17 | — | 175 | 1 | no | Hall |
| 48 | C52×C7 | C22×C3×C17 | 1 | 1 | yes | characteristic, complemented, Hall |
| 49 | C2×C5×C17 | C5⋊AGL(1,𝔽7) | 1 | 6 | yes | complemented |
| 50 | D5×C17 | — | 35 | 12 | no | — |
| 51 | C2×C3×C52 | — | 7 | 1 | no | — |
| 52 | C3×C5⋊D5 | — | 7 | 2 | no | — |
| 53 | C2×D35 | — | 5 | 6 | no | — |
| 54 | C7×C17 | C2×C3×C5⋊D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 55 | C5×ΓL(1,𝔽8) | C2×D5×C17 | 1 | 6 | yes | complemented |
| 56 | C2×C3×C17 | — | 7 | 1 | no | — |
| 57 | C2×C3×C17 | — | 175 | 2 | no | — |
| 58 | C2×C5⋊D5 | — | 7 | 1 | no | Hall |
| 59 | C5×C17 | C2×C5⋊AGL(1,𝔽7) | 1 | 6 | yes | complemented |
| 60 | C2×AGL(1,𝔽7) | — | 25 | 1 | no | Hall |
| 61 | C3×C52 | — | 7 | 1 | no | Hall |
| 62 | C2×C5×C7 | C3×D5×C17 | 1 | 6 | yes | complemented |
| 63 | D35 | — | 5 | 12 | no | — |
| 64 | C22×C17 | — | 175 | 1 | no | Hall |
| 65 | C2×C3×D5 | — | 35 | 6 | no | — |
| 66 | C3×C17 | — | 7 | 1 | no | Hall |
| 67 | C2×C52 | C17×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented |
| 68 | C5⋊D5 | — | 7 | 2 | no | — |
| 69 | C2×ΓL(1,𝔽8) | C17×C5⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 70 | AGL(1,𝔽7) | — | 25 | 2 | no | — |
| 71 | C5×C7 | C2×C3×D5×C17 | 1 | 6 | yes | complemented |
| 72 | C2×C17 | — | 175 | 2 | no | — |
| 73 | C2×C17 | C5⋊(C5⋊AGL(1,𝔽7)) | 1 | 1 | yes | characteristic, direct product factor |
| 74 | C2×C3×C5 | — | 7 | 6 | no | — |
| 75 | C3×D5 | — | 35 | 12 | no | — |
| 76 | C2×D7 | — | 25 | 1 | no | Hall |
| 77 | C52 | C2×C17×AGL(1,𝔽7) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 78 | ΓL(1,𝔽8) | C2×C17×C5⋊D5 | 1 | 1 | yes | characteristic, complemented, Hall |
| 79 | C2×D5 | — | 35 | 6 | no | — |
| 80 | C17 | C2×C5⋊(C5⋊AGL(1,𝔽7)) | 1 | 1 | yes | characteristic, direct product factor, Sylow |
| 81 | C3×C5 | — | 7 | 6 | no | — |
| 82 | C2×C7 | C3×C17×C5⋊D5 | 1 | 1 | yes | characteristic, complemented |
| 83 | D7 | — | 25 | 2 | no | — |
| 84 | C22×C3 | — | 175 | 1 | no | Hall |
| 85 | C2×C5 | C17×C5⋊AGL(1,𝔽7) | 1 | 6 | yes | complemented |
| 86 | D5 | — | 35 | 12 | no | — |
| 87 | C7 | C2×C3×C17×C5⋊D5 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 88 | C2×C3 | — | 7 | 1 | no | — |
| 89 | C2×C3 | — | 175 | 2 | no | — |
| 90 | C5 | C2×C17×C5⋊AGL(1,𝔽7) | 1 | 6 | yes | complemented |
| 91 | C22 | — | 175 | 1 | no | Sylow |
| 92 | C3 | — | 7 | 1 | no | Sylow |
| 93 | C2 | — | 175 | 2 | no | — |
| 94 | C2 | C17×C5⋊(C5⋊AGL(1,𝔽7)) | 1 | 1 | yes | characteristic, direct product factor |
Finite Group Databasebeta